Finding the Third Proportional to 214,592 and 465,022

Step by Step Solution

1. Step 1: Write the proportion equation
   214,592 : 465,022 = 465,022 : x
2. Step 2: Convert to fraction form
   214,592/465,022 = 465,022/x
3. Step 3: Cross multiply
   214,592x = 465,022 × 465,022
4. Step 4: Simplify right side
   214,592x = 216,245,460,484
5. Step 5: Solve for x
   x = 216,245,460,484/214,592
6. Step 6: Final answer
   x = 1,007,705.14